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64788480 = 2113251937
BaseRepresentation
bin1111011100100…
…1100000000000
311111220121002100
43313021200000
5113041212410
610232350400
71414456461
oct367114000
9144817070
1064788480
11336315a9
1219845400
13105656a3
148866d68
155a4b8c0
hex3dc9800

64788480 has 288 divisors, whose sum is σ = 242751600. Its totient is φ = 15925248.

The previous prime is 64788469. The next prime is 64788497. The reversal of 64788480 is 8488746.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751022 + ... + 1751058.

Almost surely, 264788480 is an apocalyptic number.

64788480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375800).

64788480 is an abundant number, since it is smaller than the sum of its proper divisors (177963120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64788480 is a wasteful number, since it uses less digits than its factorization.

64788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 64788480 is about 8049.1291454418. The cubic root of 64788480 is about 401.6359665782.

It can be divided in two parts, 64 and 788480, that added together give a square (788544 = 8882).

The spelling of 64788480 in words is "sixty-four million, seven hundred eighty-eight thousand, four hundred eighty".